Rank one chaos in switch-controlled Murali-lakshmanan-chua circuit

Ali Oksasoglu, Dongsheng Ma, Qiu-Dong Wang

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

In this paper, we investigate the creation of strange attractors in a switch-controlled MLC (Murali-Lakshmanan-Chua) circuit. The design and use of this circuit is motivated by a recent mathematical theory of rank one attractors developed by Wang and Young. Strange attractors are created by periodically kicking a weakly stable limit cycle emerging from the center of a supercritical Hopf bifurcation, and are found in numerical simulations by following a recipe-like algorithm. Rigorous conditions for chaos are derived and various switch control schemes, such as synchronous, asynchronous, single-, and multi-pulse, are investigated in numerical simulations.

Original languageEnglish (US)
Pages (from-to)3207-3224
Number of pages18
JournalInternational Journal of Bifurcation and Chaos in Applied Sciences and Engineering
Volume16
Issue number11
DOIs
StatePublished - Nov 2006

Fingerprint

Chua's Circuit
Strange attractor
Chaos theory
Switch
Chaos
Switches
Numerical Simulation
Hopf bifurcation
Networks (circuits)
Computer simulation
Limit Cycle
Hopf Bifurcation
Attractor
Design

Keywords

  • Rank-one chaos
  • Strange attractors
  • Switch-controlled circuits

ASJC Scopus subject areas

  • General
  • Applied Mathematics

Cite this

Rank one chaos in switch-controlled Murali-lakshmanan-chua circuit. / Oksasoglu, Ali; Ma, Dongsheng; Wang, Qiu-Dong.

In: International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, Vol. 16, No. 11, 11.2006, p. 3207-3224.

Research output: Contribution to journalArticle

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